Gauge-Higgs Unification in Lifshitz Type Gauge Theory

Details Gauge-Higgs Unification in Lifshitz Type Gauge Theory Gauge-Higgs Unification in Lifshitz Type Gauge Theory

2011-05-18

arxiv.org/abs/1105.3534v2

Phys.Rev.D84:025018,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 4 figures. (v2)one footnote added

Scientific paper

10.1103/PhysRevD.84.025018

We discuss the gauge-Higgs unification in a framework of Lifshitz type gauge theory. We study a higher dimensional gauge theory on R^{D-1}\times S^{1} in which the normal second (first) order derivative terms for scalar (fermion) fields in the action are replaced by higher order derivative ones for the direction of the extra dimension. We provide some mathematical tools to evaluate a one-loop effective potential for the zero mode of the extra component of a higher dimensional gauge field and clarify how the higher order derivative terms affect the standard form of the effective potential. Our results show that they can make the Higgs mass heavier and change its vacuum expectation value drastically. Some extensions of our framework are briefly discussed.

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